Basic Math Examples

$(x + \frac{7}{4}) (x - \frac{9}{4}) = 0$

Step 1

If any individual factor on the left side of the equation is equal to $0$ , the entire expression will be equal to $0$ .

$x + \frac{7}{4} = 0$

$x - \frac{9}{4} = 0$

Step 2

Set $x + \frac{7}{4}$ equal to $0$ and solve for $x$ .

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Step 2.1

Set $x + \frac{7}{4}$ equal to $0$ .

$x + \frac{7}{4} = 0$

Step 2.2

Subtract $\frac{7}{4}$ from both sides of the equation.

$x = - \frac{7}{4}$

Step 3

Set $x - \frac{9}{4}$ equal to $0$ and solve for $x$ .

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Step 3.1

Set $x - \frac{9}{4}$ equal to $0$ .

$x - \frac{9}{4} = 0$

Step 3.2

Add $\frac{9}{4}$ to both sides of the equation.

$x = \frac{9}{4}$

Step 4

The final solution is all the values that make $(x + \frac{7}{4}) (x - \frac{9}{4}) = 0$ true.

$x = - \frac{7}{4}, \frac{9}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{7}{4}, \frac{9}{4}$

Decimal Form:

$x = - 1.75, 2.25$

Mixed Number Form:

$x = - 1 \frac{3}{4}, 2 \frac{1}{4}$